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Finding the Fourth Proportional to 3,663.18, 5,494.59 and 1,354.50

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Solution

The fourth proportional to 3,663.18, 5,494.59 and 1,354.50 is: 2,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.18 : 5,494.59 = 1,354.50 : x
  2. Step 2: Convert to fraction form
    3,663.18/5,494.59 = 1,354.50/x
  3. Step 3: Cross multiply
    3,663.18x = 5,494.59 × 1,354.50
  4. Step 4: Simplify right side
    3,663.18x = 7,442,422.16
  5. Step 5: Solve for x
    x = 7,442,422.16/3,663.18
  6. Step 6: Final answer
    x = 2,031.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.